Atkin-Lehner |
2- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
5252a |
Isogeny class |
Conductor |
5252 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-33948928 = -1 · 28 · 13 · 1012 |
Discriminant |
Eigenvalues |
2- 2 -2 0 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,36,-280] |
[a1,a2,a3,a4,a6] |
Generators |
[2151535:28545630:12167] |
Generators of the group modulo torsion |
j |
19600688/132613 |
j-invariant |
L |
4.7266434660248 |
L(r)(E,1)/r! |
Ω |
1.0321745760335 |
Real period |
R |
9.1586124591223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21008h2 84032i2 47268c2 68276d2 |
Quadratic twists by: -4 8 -3 13 |